Question

What is the complete factorization of the polynomial below?

x3 + 3x2 - x - 3

A. (x + 1)(x - 1)(x + 3)
B. (x - 1)(x - 1)(x - 3)
C. (x - 1)(x - 1)(x + 3)
D. (x + 1)(x - 1)(x - 3)

Answer 1

Factor out common terms
x^2(x+3)−(x+3)
(x+3)(x^2−1)
now use the diffrence of squares:
a^2-b^2=(a-b)*(a+b)
you can factor x^2-1=x^2-1^2=?

Answer 2

do you know how to factor x^2-1?